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Many multi-product firms incur a complexity fixed cost when offering different product lines in different quality tiers relative to the case when offering all products lines in the same quality tier (high or low). Such fixed costs create an interdependency between firms' choices of quality tiers across different product lines, even when demands are independent. We investigate the effects of this interdependency on equilibrium profits in a Stackelberg duopoly game. Both firms' profits are (weakly) higher when the complexity cost is infinite than when it is 0. The Stackelberg leader's profits are always (weakly) higher with a positive complexity fixed cost, but its profits can be non-monotonic in the magnitude of this cost. The Stackelberg follower's profits can be lower when the complexity fixed cost is positive than when it is equal to 0.

In an increasing number of industries, firms choose how much control to give professionals over the provision of their services to clients. We study the tradeoffs that arise in choosing between a traditional mode (where the firm takes control of service provision) and a platform mode (where professionals retain control over service provision). The choice of mode is determined by the need to balance two-sided moral hazard problems arising from investments that only professionals can make and investments that only the firm can make, while at the same time minimizing distortions in decisions that either party could make (e.g., promotion and marketing of professionals' services, price setting, choice of service offering, etc.).